Very fast and exact accumulation of products

DOI10.1007/s00607-010-0131-yzbMath1231.65001OpenAlexW2024442638MaRDI QIDQ644853

Ulrich Kulisch

Publication date: 7 November 2011

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-010-0131-y

zbMATH Keywords

scientific computingfloating-point arithmeticcomputer arithmeticexact dot productarithmetic standards

Mathematics Subject Classification ID

Mathematical problems of computer architecture (68M07) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Software, source code, etc. for problems pertaining to computer science (68-04) Software, source code, etc. for problems pertaining to numerical analysis (65-04) Software, source code, etc. for problems pertaining to information and communication theory (94-04)

Uses Software

• C-XSC 2.0

Cites Work

• The exact dot product as basic tool for long interval arithmetic
• Convergence of Rump's method for inverting arbitrarily ill-conditioned matrices
• Computer arithmetic and validity. Theory, implementation, and applications
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